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Properties of infinite groups::Local property

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Locally::space    Group::property    Locally::local    Finite::small    Circle::subgroup    Finitely::spaces

Properties of infinite groups For an infinite group, a "small neighborhood" is taken to be a finitely generated subgroup. An infinite group is said to be locally P if every finitely generated subgroup is P. For instance, a group is locally finite if every finitely generated subgroup is finite. A group is locally soluble if every finitely generated subgroup is soluble.


Local property sections
Intro  Properties of a single space  Properties of a pair of spaces  Properties of infinite groups  Properties of finite groups  Properties of commutative rings  

Properties of infinite groups
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